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2382080 = 2851861
BaseRepresentation
bin1001000101100100000000
311111000121012
421011210000
51102211310
6123020052
726150561
oct11054400
94430535
102382080
111387768
1296a628
1365531c
14460168
15320c05
hex245900

2382080 has 36 divisors (see below), whose sum is σ = 5708892. Its totient is φ = 952320.

The previous prime is 2382073. The next prime is 2382103. The reversal of 2382080 is 802832.

It can be written as a sum of positive squares in 2 ways, for example, as 262144 + 2119936 = 512^2 + 1456^2 .

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 350 + ... + 2210.

22382080 is an apocalyptic number.

2382080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2382080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854446).

2382080 is an abundant number, since it is smaller than the sum of its proper divisors (3326812).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2382080 is an equidigital number, since it uses as much as digits as its factorization.

2382080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1882 (or 1868 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 23.

The square root of 2382080 is about 1543.3988467017. The cubic root of 2382080 is about 133.5525283430.

The spelling of 2382080 in words is "two million, three hundred eighty-two thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 1861 3722 7444 9305 14888 18610 29776 37220 59552 74440 119104 148880 238208 297760 476416 595520 1191040 2382080